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2009 AMC 10B Problem 15

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2009 AMC 10B Problem 15AMC 10 Step by Step

Name: Date: September 13, 2026

Linear Equations & Word Problems · difficulty 2 of 5 · about 3 min · position P11-15

When a bucket is two-thirds full of water, the bucket and water weigh $a$ kilograms. When the bucket is one-half full of water the total weight is $b$ kilograms. In terms of $a$ and $b$ , what is the total weight in kilograms when the bucket is full of water?

A)
$\frac23a + \frac13b$
B)
$\frac32a - \frac12b$
C)
$\frac32a + b$
D)
$\frac32a + 2b$
E)
$3a - 2b$

2009 AMC 10B Problem 15

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